Dynamic fracture: an example of convergence towards a discontinuous quasistatic solution

Dumouchel, P.-E.; Marigo, J.-J.; Charlotte, M.
April 2008
Continuum Mechanics & Thermodynamics;Apr2008, Vol. 20 Issue 1, p1
Academic Journal
Considering a one-dimensional problem of debonding of a thin film in the context of Griffith�s theory, we show that the dynamical solution converges, when the speed of loading goes down to 0, to a quasistatic solution including an unstable phase of propagation. In particular, the jump of the debonding induced by this instability is governed by a principle of conservation of the total quasistatic energy, the kinetic energy being negligible.


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